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A. Polishchuk

Publications and source records attributed to A. Polishchuk.

2 recordsLinked to original sources

On Lorentz invariance and supersymmetry of four particle scattering amplitudes in $S^N\R^8$ orbifold sigma model

The $S^N\R^8$ supersymmetric orbifold sigma model is expected to describe the IR limit of the Matrix string theory. In the framework of the model the type IIA string interaction is governed by a vertex which was recently proposed by R.Dijkgraaf, E.Verlinde and H.Verlinde. By using this interaction vertex we derive all four particle scattering amplitudes directly from the orbifold model in the large $N$ limit.

hep-th

On Koszul property of the homogeneous coordinate ring of a curve

The following corollary has been added: for general tetragonal curve $C$ of genus $g\ge 9$ the homogeneous coordinate ring of $C$ defined by the line bundle $K(-T)$, where $K$ is the canonical class, $T$ is the tetragonal series, is Koszul. Also some misprints are corrected.

alg-geom